Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Introduction
- Part I Formalism
- Part II Applications
- 16 AdS7 × S4 nonlinear KK compactification of 11-dimensional supergravity and related notions
- 17 (Abelian and nonabelian) T-dualities and other solution generatingtechniques: TsT, O(d, d), and null Melvin twist
- 18 Extremal and black p-brane solutions of supergravity; Tseytlin’s harmonic function rule
- 19 Supersymmetry of solutions, classification via susy algebra, intersecting brane solutions
- 20 U-duality group acting on supergravity theories and on solutions,M theory unification
- 21 Gravity duals: Decoupling limit and Penrose limits on solutions and algebras
- 22 Supersymmetric AdS/CFT gravity dual pairs and their deformations (susy, marginal, integrable)
- 23 Extremal black holes, the attractormechanism, and holography
- 24 Supersymmetric string (NS-R, GS, Berkovits) and supergravity on the worldsheet vs. spacetime supergravity
- 25 Kappa symmetry and spacetime supergravity equations of motion; superembedding formalism
- 26 Supergravity and cosmological inflation models
- 27 Maldacena–Núñez and supergravity no-go theorems; loopholes
- 28 Witten’s positive energy theorem in general relativity and connection with supergravity
- 29 Compactification of low-energy string theory
- 30 Toward realistic embeddings of the Standard Model using supergravity
- 31 Minimal sugra, phenomenology, andmodels of susy breaking
- References
- Index
25 - Kappa symmetry and spacetime supergravity equations of motion; superembedding formalism
from Part II - Applications
Published online by Cambridge University Press: 14 November 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Introduction
- Part I Formalism
- Part II Applications
- 16 AdS7 × S4 nonlinear KK compactification of 11-dimensional supergravity and related notions
- 17 (Abelian and nonabelian) T-dualities and other solution generatingtechniques: TsT, O(d, d), and null Melvin twist
- 18 Extremal and black p-brane solutions of supergravity; Tseytlin’s harmonic function rule
- 19 Supersymmetry of solutions, classification via susy algebra, intersecting brane solutions
- 20 U-duality group acting on supergravity theories and on solutions,M theory unification
- 21 Gravity duals: Decoupling limit and Penrose limits on solutions and algebras
- 22 Supersymmetric AdS/CFT gravity dual pairs and their deformations (susy, marginal, integrable)
- 23 Extremal black holes, the attractormechanism, and holography
- 24 Supersymmetric string (NS-R, GS, Berkovits) and supergravity on the worldsheet vs. spacetime supergravity
- 25 Kappa symmetry and spacetime supergravity equations of motion; superembedding formalism
- 26 Supergravity and cosmological inflation models
- 27 Maldacena–Núñez and supergravity no-go theorems; loopholes
- 28 Witten’s positive energy theorem in general relativity and connection with supergravity
- 29 Compactification of low-energy string theory
- 30 Toward realistic embeddings of the Standard Model using supergravity
- 31 Minimal sugra, phenomenology, andmodels of susy breaking
- References
- Index
Summary
By adding WZ terms to the superstring actions, we find actions with kappa symmetry. Similarly, for super-p-branes, we can describe actions, and find a brane scan, related to the existence of a kappa symmetry. In curved superspace, the supergravity equations of motion in 11 dimensions are obtained from the condition of kappa symmetry. The superembedding formalism starts with the superembedding conditions. For the case of the particle, we describe it and give example. For the superstring, we sketch how it is done.
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- Introduction to Supergravity and its Applications , pp. 325 - 340Publisher: Cambridge University PressPrint publication year: 2024